A model of a ship is made to a scale of 1 : 200.
If the area of the deck of the ship is 160000 m², find the area of the deck of the model.
Solution:-
The ratio between comparable measurements of an object and a representation of that object is known as a scale factor in mathematics. The copy will be larger if the scaling factor is a whole number. A fractional scaling factor means that the duplicate will be smaller.
From the question it is given that, a model of a ship is made to a scale of 1 : 200
Given, the area of the deck of the ship is 160000 m²
Then, area of deck of the model = 160000 × (1/200)2
= 160000 × (1/40000)
= 4 m2
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